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Finding the Third Proportional to 11,672.75 and 24,985.75

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Solution

The third proportional to 11,672.75 and 24,985.75 is: 53,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.75 : 24,985.75 = 24,985.75 : x
  2. Step 2: Convert to fraction form
    11,672.75/24,985.75 = 24,985.75/x
  3. Step 3: Cross multiply
    11,672.75x = 24,985.75 × 24,985.75
  4. Step 4: Simplify right side
    11,672.75x = 624,287,703.06
  5. Step 5: Solve for x
    x = 624,287,703.06/11,672.75
  6. Step 6: Final answer
    x = 53,482.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.